Revision as of 03:18, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Suppose you toss a dart at a circular target of radius 10 inches. Given that the dart lands in the upper half of the target, find the probability that <ul><li> it lands in the right half of the target. </li> <li> its distance from the center is l...")
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BBy Bot
Jun 09'24

Exercise

[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Suppose you toss a dart at a circular target of radius 10 inches. Given

that the dart lands in the upper half of the target, find the probability that

  • it lands in the right half of the target.
  • its distance from the center is less than 5 inches.
  • its distance from the center is greater than 5 inches.
  • it lands within 5 inches of the point [math](0,5)[/math].